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13151405225 = 527240926249
BaseRepresentation
bin11000011111110001…
…01000010010101001
31020221112200121101102
430033320220102221
5203413224431400
610013000131145
7643622046200
oct141770502251
936845617342
1013151405225
115639697442
122670466ab5
1313178733aa
148ca8dc237
1551e8ac9d5
hex30fe284a9

13151405225 has 36 divisors (see below), whose sum is σ = 19017337500. Its totient is φ = 8995714560.

The previous prime is 13151405149. The next prime is 13151405291. The reversal of 13151405225 is 52250415131.

It can be written as a sum of positive squares in 6 ways, for example, as 774620224 + 12376785001 = 27832^2 + 111251^2 .

It is not a de Polignac number, because 13151405225 - 220 = 13150356649 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487901 + ... + 514149.

It is an arithmetic number, because the mean of its divisors is an integer number (528259375).

Almost surely, 213151405225 is an apocalyptic number.

It is an amenable number.

13151405225 is a deficient number, since it is larger than the sum of its proper divisors (5865932275).

13151405225 is a wasteful number, since it uses less digits than its factorization.

13151405225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26682 (or 26670 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 13151405225 in words is "thirteen billion, one hundred fifty-one million, four hundred five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 409 1225 2045 2863 10225 14315 20041 26249 71575 100205 131245 183743 501025 656225 918715 1286201 4593575 6431005 10735841 32155025 53679205 75150887 268396025 375754435 526056209 1878772175 2630281045 13151405225